JZM1 Finite Mathematics Task 6: Number Patterns

Part A: Provide the first five terms of an arithmetic or geometric sequence that has a first term higher than 10 and a common difference or ratio that is positive but not 1.

1. 15, 17, 19, 21 Part A 1: Using the general formula for either the arithmetic or geometric sequence, derive the specific nth term formula for the sequence from part A, showing all steps. The general formula for an arithmetic sequence is (n -1)d. Since stands for the first term in the sequence, I used my youngest daughters age of 13. D is the common difference between two numbers in the pattern. Each number in my pattern increases by 2 each time. Therefore, 2 becomes the value of d. The nth formula for the pattern used above is: ...